1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help in Finding Eigenvectors Associated with Complet Eigenvalue

  1. Mar 11, 2010 #1
    The last matrix at the bottom of the second page is the Eigenvector found using Matlab.

    I'm trying to find it by hand. I found the Real Eigenvector associated with L=76.2348. But I've tried to find the Eigenvector's for the complex Eigenvalues for a while and can't get the answer given by Matlab. I might be doing the row operations and solving for x1,x2,x3 correctly but then using the wrong norm to get the Matlab answer?

    Any help would be much appreciated.

    3. The attempt at a solution

    The attempt is in the attachments.

    On the second page, the equation:

    (-3.5476+j316.915)*x2 - 83.33*x3 = 0

    should have been:
    (-3.5476+j316.915)*x2 + 83.33*x3 = 0

    But I tried working it from that and it still didn't work out. So I must be doing something fundamentally wrong.

    Attached Files:

  2. jcsd
  3. Mar 11, 2010 #2
    Re: Help in Finding Eigenvectors Associated with Complex Eigenvalue

    My question only pertains to the second page of the pdf. The first page consists of simply finding the Eigenvalues, and then the Eigenvector for the real Eigenvalue.

    To refine my question, is the method of performing Gauss Elimination the correct method for finding the complex Eigenvector?

    If so, what norm should be used to get the Eigenvector given by Matlab as shown in the final matrix of the second page of the pdf?

    I hope this clarifies things.

    Thank you.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Help Finding Eigenvectors Date
Need help finding determinant Nov 12, 2017
Help finding eigenvectors! Nov 27, 2010
Finding the eigenvectors of a 3x3 matrix - help please Apr 14, 2010
Help finding eigenvectors to simple 2x2 matrix Mar 12, 2010